Frenet frames and invariants of timelike ruled surfaces

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Date

2013

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Publisher

Ain Shams University

Abstract

In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame. We define instantaneous rotation vectors of the Frenet frames of timelike ruled surfaces. Also we prove the Chasles Theorem for timelike ruled surfaces. © 2012 Ain Shams University. Production and hosting by Elsevier B.V. All rights reserved.

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Keywords

Construction , Curvatures , Frenet frame , Minkowski 3-space , Rotation vector , Ruled surfaces , Engineering

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17468

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